AQs
70.82%
Wins 68.17%, ties 5.29%
AJs
29.18%
Wins 26.54%, ties 5.29%
AQs against AJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 68.172 | 5.286 | 26.542 | 70.815 |
| AJs | 26.542 | 5.286 | 68.172 | 29.185 |
AQs meets AJs, and both are suited hands. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AQs is the clear favorite, though AJs gets there on roughly one board in 3. About 5.29% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
AQs ranks number 10 of 169 starting hands, and AJs ranks number 11, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 14,008,000 | 1,086,000 | 5,454,000 |
| AJs | 5,454,000 | 1,086,000 | 14,008,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQs | 2.426 | 1.467 | 3.768 | 0.412 |
| AJs | 0.412 | 3.768 | 1.467 | 2.426 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. AQs does best on low rainbow flops (nine high or lower), at 82.04%, and worst on monotone flops, at 64.35%. AQs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AQs wins | Ties | AJs wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 68.906 | 3.019 | 28.075 | 70.416 |
| Rainbow, nine or lower | 7.771 | 79.482 | 5.117 | 15.401 | 82.040 |
| Two-tone | 46.543 | 68.674 | 3.220 | 28.106 | 70.284 |
| Monotone | 5.215 | 61.764 | 5.172 | 33.064 | 64.350 |
| Paired | 17.333 | 62.702 | 13.967 | 23.331 | 69.686 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, AQs holds 66.21% and AJs holds 65.39%. Facing each other changes that by +4.61 points for AQs and -36.21 points for AJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 70.815 | 66.209 | +4.606 | 1.06957 |
| AQs, rainbow, ten or higher | 70.416 | 66.209 | +4.207 | 1.06354 |
| AQs, rainbow, nine or lower | 82.040 | 66.209 | +15.831 | 1.23911 |
| AQs, two-tone | 70.284 | 66.209 | +4.075 | 1.06155 |
| AQs, monotone | 64.350 | 66.209 | -1.859 | 0.97192 |
| AQs, paired | 69.686 | 66.209 | +3.477 | 1.05252 |
| AJs, all flops | 29.185 | 65.393 | -36.208 | 0.44630 |
| AJs, rainbow, ten or higher | 29.584 | 65.393 | -35.809 | 0.45240 |
| AJs, rainbow, nine or lower | 17.960 | 65.393 | -47.433 | 0.27465 |
| AJs, two-tone | 29.716 | 65.393 | -35.677 | 0.45442 |
| AJs, monotone | 35.650 | 65.393 | -29.743 | 0.54517 |
| AJs, paired | 30.314 | 65.393 | -35.079 | 0.46357 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | AQs wins | Ties | AJs wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 68.172 | 5.286 | 26.542 | 70.815 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AQs against AJs, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQs' average share is $141.64 (a gain of $41.64) and AJs' is $58.36 (a loss of $41.64).
Scaled to 1,000 deals, that is roughly 682 wins for AQs, 265 for AJs and 53 chopped pots.
The same matchup from the other side
The reversed view, AJs against AQs, shows 29.18% for AJs and 70.82% for AQs. It is the same count, so it redirects here.
Keep exploring
AsQs against AhJh is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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